2. Evaluate the given line integral, (-y, x – y) · dR, where C is the line segment from (2,0) to (0, –2). Vour answer

Q: Jse the linear approximation to estimate AS = f(3.1) – f(3) for f(x) = T Use decimal notation. Give…

A: Here, the given function is: f(x)=31+x2⇒f'(x)=3-1(1+x2)2(2x)=-6x(1+x2)2

Q: Obtain the differential equations satisfied by the given particular solution 2. y = 7- 2x +e*

A: The objective of the question is determine the differential equation.   Note -  As per our…

Q: 15. What are the coordinates of the vertices of the ellipse A. (-6,0) and (6,0) B. (0, -6) and (0,…

A: 15  y2/9 + x2/36 = 1 compare with x2/a2 + y2/b2 = 1 so a = + 6     b = + 3 so here vertices  (a,0)…

Q: Suppose the symmetric equations of lines l, and l2 are = 2 – y = z and x = -1, = respectively.

A:

Q: Find the Inverse Laplace of the following 6s – 4 s2 – 4s + 20 2e-24 cos 4t + 8e " sin4t Option 3…

A: Explanation of the answer is as follows

Q: 2. For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). x = 3t? –…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Σ Suppose the Maclaurin series f(x) is f(x) =£ n=0 Find the Maclaurin series for the following.…

A:

Q: S e6m sin m dm Integration by Parts

A:

Q: Show that - 8. ==1+* +4++++1=

A: We know ∑1n2=π26  Hence, ∑1(2n)2+∑1(2n+1)2=π26 Therefore, 14∑1n2+∑1(2n+1)2=π26 ∑1(2n+1)2=π26 - π224…

Q: Using Linear Approximation, determine the approximate value of the following: Final answers must be…

A: Topic:- application of derivatives

Q: Question 3 (a) Find the first and second derivative of the following function, in which a and b are…

A:

Q: 2) lim- x) Tanx

A: The given limit is              limx→π2π2-xTanx we know,     Tanx= sinxcosx

Q: 1/3 Find the minimum and maximum values of the function y = (t – 3t2)" on the interval [-1,3] by…

A:

Q: EXERCISES 1.1 Answers to selected odd-numbered problems begin on page ANS-2. 1. Evaluate the…

A: Since you have posted multiple questions with multiparts. As per guidelines we"ll solve only first…

Q: Find the average value of the function f(x): 14 over the %3D interval [1, e]. NOTE: Enter the exact…

A:

Q: Find all horizontal and vertical asymptotes (if any). (If an answer does not exist, enter DNE.) 10x3…

A:

Q: 2) Eliminate the arbitrary enstant, 4 y= x*+ Cix + Cz e-X

A: Given problem:- Eliminate the arbitrary constants. of y= x² + C₁x + C₂ e-x

Q: Question 5 The length of the side of a square floe area of the tile. O +1.5025 cm2

A:

Q: 1 dx, if possible. State whether the integral converges or diverges. 4

A:

Q: 1. 3p² tan¯p dp

A:

Q: Find the volume of the solid of revolution when the region below y = x +1 and between x = 0 and x =…

A: Explained below

Q: 1- Every Boolcan algebra (B, V, A), becomes a Boolean ring (B, +, .) on defining addition and…

A:

Q: 8x + 1 10. Evaluate the integral / dx. 4.x2 + 12x + 10 11 (a) In |4.x2 + 12x + 10|| tan-(2x + 3) + C…

A:

Q: ne differe htial equation 25+ソ-3)dy = ($424-3}dy

A:

Q: Use the Root Test to determine whether the series convergent or divergent. n2 + 1 9n2 + 8 n- 1…

A:

Q: Exercises Construction of Homogeneous Linear Equations Obtain the differential equations satisfied…

A:

Q: 5. Find the solution of the following initial value problems. F'(u) = 4cosu – 3, F(0) = 4

A:

Q: 1 3. Let f(r, y, z) = Show that Va? + y? + z²° frz + fyy + fz: = 0.

A: answer is in next step

Q: Find the general form of the equation of the plane containing the point Q(0, –2, 10) and the line l1…

A:

Q: 1 2" 3" 1 Find the sum of the convergent series. n-4

A:

Q: 1 1 1 dx x+2, x+1

A: We can solve this as follows:

Q: Find the equation of the following exponential function.

A:

Q: 4 2 6e"*+2dydx =? (a) 2 (e* – e?) (b) 2 (e10 – e°) (c) 2 (e16 – e?) (d) 2 (e2 – e?) (e) 2 (e64 – e?)

A:

Q: Question 1 Determine the inverrse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9)

A: L-11s-a =eat L-1as2+a2=sin(at) and L-1ss2+a2= cos(at).

Q: y" + 4y= cos'x

A: Given: y"+4y=cos2x

Q: f 3p2tanip dp

A:

Q: Each side of an equilateral triangle measures 3cm, with a possible error of 0.1cm. Using…

A: The area of a quadrilateral triangle is: A=34x2 where x=side length =3 cm So, A=34(3)2=934cm2

Q: 9. Determine the points of inflection and discuss the concavity of the graph of f (x) = x* – 4x²

A:

Q: e ( +5t –2) 6. 5 (s – 2) (s - 2)² O Option 3 O None of the Choices 6 + 5(s – 2)² – 2(s - 2)° (s -…

A: To find the Laplace transform of f(t)=e2tt3+5t-2⇒f(t)=e2tt3+5e2tt-2e2t

Q: set D: Problem #G Find the eauation OF the Iine tangent to F Cx) = cos? x - Sin? (x) at X 3r %3D 4

A: To find the equation of the tangent line at x=3pi/4.

Q: (1) Evaluate the double integral and sketch the graph. 1/4 4 r2 sin 0 cos 0 dr d0

A:

Q: Volume of Solid Revolution(Circular Disk/ Washer Method) Find the volume of the solid generated by…

A: Given problem:- Find the volume of the solid generated by revolving the area bounded by the given…

Q: 8x? -x t 8 x (x² + 4) 9. b.4mx4 3m (x+4-ラ4an)tc c. qlnxf 6m (x"+4)-Arctan )t c d. 2mxt 6m Ge?+4) -…

A:

Q: _1. What is the integral that describes the enclosed region between y = 4x- x and the x- axis ? A.…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Find and classify all critical points of the function defined by h(x,y)=x^3−3x+3xy^2.

A:

Q: dw I. Find dw and and ду aw (whenever possible) for the following functions. - - dz 1) w = 5x*y –…

A: Let's find.

Q: In Exercises 9 and 10, find all the trigonometric values of 0 with the given conditions. 15 9. cos 0…

A:

Q: set E: Problem #6 Find the equation oF the line tangent to at x = 5r FCx) = cos?x -sin? ) %3D

A:

Q: Topic on Application of Integration - Area. Find the point/s of intersection of the graph and draw…

A: Here point of intersection of the line y=0 and y=x2-4 is put y=0 x2-4=0x2=4taking square root on…